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Finding the Fourth Proportional to 5,659.70, 8,489.55 and 1,764.11

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Solution

The fourth proportional to 5,659.70, 8,489.55 and 1,764.11 is: 2,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.70 : 8,489.55 = 1,764.11 : x
  2. Step 2: Convert to fraction form
    5,659.70/8,489.55 = 1,764.11/x
  3. Step 3: Cross multiply
    5,659.70x = 8,489.55 × 1,764.11
  4. Step 4: Simplify right side
    5,659.70x = 14,976,500.05
  5. Step 5: Solve for x
    x = 14,976,500.05/5,659.70
  6. Step 6: Final answer
    x = 2,646.17

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.